The number 48702
48702 is a composite number with 8 divisors. Its prime factorisation is 2 × 3 × 8117. Divisors (8): 1, 2, 3, 6, 8117, 16234, 24351, 48702.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 48702: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
48702 is composite. Its prime factorisation is
- 3
The divisors add up to 97416; without 48702 itself that is 48714, so 48702 is abundant (48714 is more than 48702). Euler's totient φ(48702) = 16232 numbers up to 48702 share no factor with it.
- 4
The digits of 48702 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 158 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48702 = 2 \times 3 \times 8117 \]
48702 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 97416 |
| Euler totient φ(n) | 16232 |
| Square | 2371884804 |
| Cube | 115515533724408 |
| Square root | 220.685296 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 158 |
| Scientific notation | 4.8702 × |
48702 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand seven hundred and two |
| Binary (base 2) | 1011111000111110 |
| Octal (base 8) | 137076 |
| Hexadecimal (base 16) | BE3E |
| Base 3 | 2110210210 |
| As time | 48702 seconds = 13 h 31 min 42 s |
Is 48702 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (48702 ÷ 2 = 24351) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (48702 ÷ 3 = 16234) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (48702 ÷ 6 = 8117) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | No (remainder 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 48702 a prime number?
No. 48702 = 2 × 3 × 8117, so it is divisible by 2.
What are the factors of 48702?
1, 2, 3, 6, 8117, 16234, 24351, 48702.
What is 48702 in binary?
1011111000111110 (hexadecimal BE3E, octal 137076).
What is the square root of 48702?
About 220.6853.
Is 48702 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 48702?
48702 is a happy number: repeatedly adding the squares of its digits reaches 1.